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Presentation geogebra 250912

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Presentation geogebra 250912

  1. 1. Dynamic mathematics with GeogebraDr Christian Bokhove@cb1601ejC.Bokhove@soton.ac.ukSouthampton Education School
  2. 2.  Who am I? – Christian Bokhove, Netherlands – Teacher maths & computer science secondary school „98-‟12 – ICT & maths projects and PhD Disclaimer – We do not favor one software or the other …but we have to choose one – Be critical about all software and hardware – www.geogebra.org
  3. 3. And now…  Who knows geogebra already?  Can you describe geogebra in your own words?  Short introduction
  4. 4. What is GeoGebra?  Dynamic Mathematics Software  For Learning and Teaching in Schools  Geometry, Algebra and Calculus  Freely available from www.geogebra.org
  5. 5. GeoGebra = Geometry + Algebra Algebra Window Geometry & Graphics Window
  6. 6. GeoGebra as a Pedagogical Tool  Presentation Tool dynamic visualizations  Modeling Tool dynamic constructions  Authoring Tool interactive online material
  7. 7. Examples of Using GeoGebra  Visualizing students can “see” abstract concepts  Representations students can make connections  Experiments students can discover mathematics
  8. 8. Visualizing Parameters
  9. 9. Visualizing Movement
  10. 10. Examples of Using GeoGebra  Visualizing students can “see” abstract concepts  Representations students can make connections  Experiments students can discover mathematics
  11. 11. Multiple Representations GeoGebra: Bidirectional Connection Symbolic ⇔ Graphics Examples – Coordinates ⇔ Point in Coordinate System – Circle„s Equation ⇔ Circle drawn in Coordinate System – Function„s Equation ⇔ Graph of Function
  12. 12. Representations: Sketch & Graph
  13. 13. Unexpected Discoveries
  14. 14. Examples of Using GeoGebra  Visualizing students can “see” abstract concepts  Representations students can make connections  Experiments students can discover mathematics
  15. 15. Experiments: What happens when..?
  16. 16. Experiments: Approximation
  17. 17. Educational Principles  Student Activity  Modeling  Multiple Representations  Experimental and Guided Discovery Learning – Great to show you everything but better off discovering yourselves!
  18. 18. Hands-on activities Do several activities Choose from the worksheet(s), on Blackboard (or paper) – Work from 1 to 5 – Then choose what you like from 6 onwards – Main goal: learn to use geogebra Want to learn more? (e.g. scripting, customizing toolbars) see http://wiki.geogebra.org/en/Tutorial:Main_Page and http://www.geogebra.org/en/wiki/index.php/Workshop_materials

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